Certificate for #5368 ⟨a, b | aab=aa, bab=bb⟩

Back:⟨a, b | aab=aa, bab=bb⟩

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Defines rule #2.

Referenced by [3].

[2] bab=bb

Axiom: bab=bb.

Defines rule #3.

Referenced by [3].

[3] aaa=aa

Overlap of [1] aab=aa with [2] bab=bb:

aa b bab

Critical pair: aabb=aaab.

Reduce LHS:

[1](aab)b
[1]⇒ (aab)
⇒ aa

Reduce RHS:

[1]a(aab)
⇒ aaa

Flip LHS and RHS.

Defines rule #1.